186864 has 40 divisors (see below), whose sum is σ = 513360. Its totient is φ = 58368.

The previous prime is 186859. The next prime is 186869. The reversal of 186864 is 468681.

186864 = T₁₃₅ + T₁₃₆ + ... + T₁₅₂.

186864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (186859) and next prime (186869).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (12834).

2¹⁸⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 186864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256680).

186864 is an abundant number, since it is smaller than the sum of its proper divisors (326496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

186864 is a wasteful number, since it uses less digits than its factorization.

186864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 186864 is about 432.2776885290. The cubic root of 186864 is about 57.1709243071.

The spelling of 186864 in words is "one hundred eighty-six thousand, eight hundred sixty-four".